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Finding the Third Proportional to 114,741 and 249,895.50

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Solution

The third proportional to 114,741 and 249,895.50 is: 544,249.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,741 : 249,895.50 = 249,895.50 : x
  2. Step 2: Convert to fraction form
    114,741/249,895.50 = 249,895.50/x
  3. Step 3: Cross multiply
    114,741x = 249,895.50 × 249,895.50
  4. Step 4: Simplify right side
    114,741x = 62,447,760,920.25
  5. Step 5: Solve for x
    x = 62,447,760,920.25/114,741
  6. Step 6: Final answer
    x = 544,249.75

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.